Use the Pythagorean theorem: c2 = a2 + b2, in this example we need to know, let's say a. So that,
x2 = c2 - b2
x = √(212 - 72)= √(441 - 49) = √392 = √196*2 = 14√ 2
The area of a parallelogram is calculated by multiplying the length of the base by the height. In this case, the base is 3 feet and the height is 7 feet. Therefore, the area of the parallelogram is 3 feet * 7 feet = 21 square feet.
1 Let the height be x+1.75 and the base be x 2 1837.5 sq mm is the same as 18.375 sq cm 3 0.5*(x+1.75)*x = 18.375 => x2+1.75x-36.75 = 0 4 Using the quadratic equation gives x a positive value of 5.25 5 Therefore: height = 7 cm and base = 5.25 cm 6 Using Pythagoras: hypotenuse = 8.75 cm 7 Perimeter: 8.75+7+5.25 = 21 cm
7. Since the area of a rectangle is base x height, the base must be the area (28) divided by the height (4). 28/4 = 7
1/2*(7+11)*height = 63 18*height = 126 height = 7 units of measurement
Area of any triangle is: 0.5*base*height
The area of a parallelogram is calculated by multiplying the length of the base by the height. In this case, the base is 3 feet and the height is 7 feet. Therefore, the area of the parallelogram is 3 feet * 7 feet = 21 square feet.
21 inches squared
10.95 cm
7. Since the area of a rectangle is base x height, the base must be the area (28) divided by the height (4). 28/4 = 7
1 Let the height be x+1.75 and the base be x 2 1837.5 sq mm is the same as 18.375 sq cm 3 0.5*(x+1.75)*x = 18.375 => x2+1.75x-36.75 = 0 4 Using the quadratic equation gives x a positive value of 5.25 5 Therefore: height = 7 cm and base = 5.25 cm 6 Using Pythagoras: hypotenuse = 8.75 cm 7 Perimeter: 8.75+7+5.25 = 21 cm
You can use reverse Pythagorean theorem 11.2 squared is 125.44. Subtract that from the hypotenuse squared (49), and you get the height squared. Find the square root of that number nad Bingo! You have the height. ( In case you don't actually wan't to do the math, its approx. 8.742997198 units)
The volume of a square pyramid with height 7 and base 5 is 58.33 cubic units.
A cone with height 24 and the base diameter 7 has a surface area of 305.17 units2
Formula = base * height / 2 7 * 7 = 49. 49/2 = 24.5 24.5 units squared.
1/2*(7+11)*height = 63 18*height = 126 height = 7 units of measurement
Area of any triangle is: 0.5*base*height
Area = 0.5*base*height 28 = 0.5*8*height So height = 7 inches.